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Finding the Fourth Proportional to 9,180.77, 13,771.15 and 5,885.69

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Solution

The fourth proportional to 9,180.77, 13,771.15 and 5,885.69 is: 8,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.77 : 13,771.15 = 5,885.69 : x
  2. Step 2: Convert to fraction form
    9,180.77/13,771.15 = 5,885.69/x
  3. Step 3: Cross multiply
    9,180.77x = 13,771.15 × 5,885.69
  4. Step 4: Simplify right side
    9,180.77x = 81,052,636.27
  5. Step 5: Solve for x
    x = 81,052,636.27/9,180.77
  6. Step 6: Final answer
    x = 8,828.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.